Get Answers to all your Questions

header-bg qa

 The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the points (4, −1) and (−2, 2) is :


  • Option 1)


  • Option 2)


  • Option 3)


  • Option 4)



Answers (1)


As we learnt in

Eccentricity -

e= \sqrt{1-\frac{b^{2}}{a^{2}}}

- wherein

For the ellipse  

\frac{x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}= 1

It passes through (4,-1) and (-2,2)


and  \frac{4}{a^{2}}+\frac{4}{b^{2}}=1\left.\begin{matrix} & \end{matrix}\right\}\times 4





Option 1)


This option is incorrect

Option 2)


This option is incorrect

Option 3)


This option is correct

Option 4)


This option is incorrect

Posted by


View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE